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Finding the Fourth Proportional to 33,826.72, 50,732 and 12,768.80

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Solution

The fourth proportional to 33,826.72, 50,732 and 12,768.80 is: 19,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,826.72 : 50,732 = 12,768.80 : x
  2. Step 2: Convert to fraction form
    33,826.72/50,732 = 12,768.80/x
  3. Step 3: Cross multiply
    33,826.72x = 50,732 × 12,768.80
  4. Step 4: Simplify right side
    33,826.72x = 647,786,761.60
  5. Step 5: Solve for x
    x = 647,786,761.60/33,826.72
  6. Step 6: Final answer
    x = 19,150.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.